How do you solve the following system?: -3x -2y =5, -4x +7y = -3

1 Answer
Dec 23, 2015

x=29/13 and y=-47/13

Explanation:

To solve this question there are a number of ways, the most basic being rearrangement and substitution.
To start off you would rearrange the top equation to get y by itself, to do this you would follow these steps
-3x+3x-2y=5+3x
Which gives the answer
-2y=5+3x
Y isn't by itself yet so you would then:
(-2y)/-2=(5+3x)/-2
Giving the answer
y=-(5+3x)/2

Now you must substitute this into the second equation, it would look like this:
-4x+7[(-5+3x)/2]=-3
You would then simplify to get:
-8x-35+21x=-6
Which then simplifies to:
13x=32
Therefore x=29/13

Then substitute the value of x into the equation where y=-(5+3x)/2
Which gives the answer:
y=-47/13